The correct option d. a confidence interval is produced by calculating the degree of non-sampling error for the particular statistic; is the false statement regarding the confidence intervals.
Describe the term confidence intervals?The confidence interval (CI) is a range of probabilities that, with a particular level of confidence, is likely to include a population value.
A population mean that sits between a minimum and maximum interval is frequently stated as a percentage.A range of data that you may be 95% positive contains the population's actual mean is known as the 95% confidence interval. The sample mean (the center of the CI) will fluctuate from sample to sample as a result of natural sampling variability.The approach itself, not a certain CI, is where the confidence lies. If the sampling procedure were to be applied repeatedly, roughly 95% of the built-in intervals would represent the real population mean.Thus, all statement correctly describes the confidence intervals except in option d.
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could someone help me with this please?
Find the values of x and y in the equation below.
(x²-2x+1)⁷⁷+(3x-2y+5)⁸⁸=0
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
You want the solution to the equation (x²-2x+1)⁷⁷ +(3x-2y+5)⁸⁸ = 0.
Even powersThe first term can be rewritten as ...
\((x^2-2x+1)^{77}=((x-1)^2)^{77}=(x-1)^{154}\)
This means both of the terms are being raised to even powers. Any non-zero value of the base expression will result in a positive value for the term. That is, each term is non-negative.
Zero sumThe sum of two non-negative terms will be zero if and only if each of the terms individually is zero. That means the equation resolves to two equations:
(x -1) = 0(3x -2y +5) = 0SolutionThe solution to the first equation is x=1. Using this value in the second equation, it becomes ...
3 -2y +5 = 0
8 = 2y . . . . . . . . add 2y
4 = y . . . . . . . divide by 2
The values of x and y that will make the equation true are ...
(x, y) = (1, 4)
Grayson just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 12 inches. Make a table of values and then write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.
The numbers 1 through 25 are written on 25 cards with onenumber on each card. Sara picks one of the 25 cards at random.What is the probability that the number on her card will be amultiple of 2 or 5
Answer:
17/25
Step-by-step explanation:
sorry if I'm wrong
lay them out on.a piece of paper and circle every multiple of 2
Graph h(x) = 0.5 cos -x +
+ 3 in the interactive widget.
2
Note that one moveable point always defines an extremum point in the graph
and the other point always defines a neighbouring intersection with the midline.
The graph of the cosine function is plotted and attached
What is cosine graph?A cosine graph, also known as a cosine curve or cosine function, is a graph that represents the cosine function.
The cosine function is a mathematical function that relates the angle (in radians) of a right triangle to the ratio of the adjacent side to the hypotenuse.
In the function, h(x) = 0.5 cos (-x + 3), the parameters are
Amplitude = 0.5
B = 2π/T where T = period.
period = 2π / -1 = -2π
phase shift = +3
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Which number is an irrational number?
a) -22/9
B) -radical 3
C) 2.55
D) radical 16
Answer:
B
Step-by-step explanation:
A, C, and D are rational numbers. For D,
\( \sqrt{16} = 4\)
Answer:
I believe the answer is B
JOURNAL 5.3.4.
PLZZZ HELP, I NEED 1-9
Answer:
8?
Step-by-step explanation:
it can be shown that y1=2 and y2=cos2(6x) sin2(6x) are solutions to the differential equation 6x5sin(2x)y′′−2x2cos(6x)y′=0
We have a differential equation as 6x5sin(2x)y′′−2x2cos(6x)y′=0 given that y1=2 and y2=cos2(6x) sin2(6x) are the solutions.
To prove this we can check whether both solutions satisfy the given differential equation or not. We know that the second derivative of y with respect to x is the derivative of y with respect to x and is denoted as "y′′. Now, we take the derivative of y1 and y2 twice with respect to x to check whether both are the solutions or not. Finding the derivatives of y1:Since y1 = 2, we know that the derivative of any constant is zero and is denoted as d/dx [a] = 0. Therefore, y′ = 0 . Now, we can differentiate the derivative of y′ and obtain y′′ as d2y1dx2=0. Thus, y1 satisfies the given differential equation. Finding the derivatives of y2:Now, we take the derivative of y2 twice with respect to x to check whether it satisfies the given differential equation or not. Differentiating y2 with respect to x, we get y′=12sin(12x)cos(12x)−12sin(12x)cos(12x)=0. Differentiating y′ with respect to x, we get y′′=−6sin(12x)cos(12x)−6sin(12x)cos(12x)=−12sin(12x)cos(12x)Therefore, y2 satisfies the given differential equation.
Hence, both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation 6x^5 sin(2x)y′′ − 2x^2 cos(6x)y′ = 0. Both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation 6x^5 sin(2x)y′′ − 2x^2 cos(6x)y′ = 0. To prove this, we checked whether both solutions satisfy the given differential equation or not. We found that the second derivative of y with respect to x is the derivative of y with respect to x and is denoted as y′′. We differentiated the y1 and y2 twice with respect to x and found that both y1 and y2 satisfy the given differential equation. Both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation.
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The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is \(\frac{3}{10}\).
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.To find the probability of picking a card with an even number:
There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.These cards are placed on a table with the numbers facing down.To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.So, the probability of picking a card with an even number is \(\frac{3}{10}\).Therefore, the probability of picking a card with an even number is \(\frac{3}{10}\).
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COMPLETE QUESTION:
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.
the acceleration due to gravity on earth is 9.80 m/s 2 . if the mass of a dog is 40.0 kg, what is the weight of the dog?
The weight of the dog is calculated by multiplying its mass of 40.0 kg with the acceleration due to gravity of 9.80 m/s^2, resulting in a weight of 392 N.
The weight of an object is the force exerted on it due to gravity. The formula to calculate weight is
weight = mass x acceleration due to gravity
In this case, the mass of the dog is 40.0 kg, and the acceleration due to gravity on Earth is 9.80 m/s^2. Plugging these values into the formula, we get
weight = 40.0 kg x 9.80 m/s^2
weight = 392 N (Newtons)
Therefore, the weight of the dog is 392 Newtons.
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What is the difference between compression and tension forces?
Answer: Tension and compression refer to forces that attempt to deform an object. The main difference between tension and compression is that tension refers to forces that attempt to elongate a body, whereas compression refers to forces that attempt to shorten the body.
Step-by-step explanation: thank me later
Which is an example of an algebraic expression?
A. 4(3 + 8)
B. 182
C. 3 – a
D. 21 • 4
Answer:
C
Step-by-step explanation:
the only answer choice with a variable in it, that is what an algebraic expression is
Answer:
C. 3 – a
Step-by-step explanation:
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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Which sequence of transformations carries ABCD onto HGFE?
Sequence of transformations carries ABCD onto HGFE are translation and reflection.
Define reflection.In mathematics, reflection refers to a transformation of a geometric figure in which the figure is flipped across a line or a plane. The line or plane across which the figure is flipped is called the line or plane of reflection, and it acts as the mirror for the reflection.
ABCD is a rectangle in 4th quadrant
Step1: Translate it by2 units in vertical direction
rectangle will shift to 1st quadrant with new coordinates.
Step2: Reflect the rectangle w.r.t y axis
The final rectangle will be in 3rd quadrant
Hence, sequence of transformations carries ABCD onto HGFE are translation and reflection.
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I need some help with this I don't quiet get this.
Answer:
10500 \(mm^{3}\)
Step-by-step explanation:
h = Perpendicular height of the cylinder
= 52 mm
r = Base radius
= \(\frac{Diameter}{2}\)
= \(\frac{16}{2}\) mm
= 8 mm
Volume of a cylinder = Base Area × h
= (Area of circle) × h
= \(\pi r^{2} h\)
= \(\pi (8 mm)^{2} (52 mm)\)
= 10455.22 \(mm^{3}\)
≈ 10500 \(mm^{3}\) (Rounded to 3 significant figures)
Given the functions f(x) = 4(2)^x and g(x) = f(x) + 3, which transformation would map
f(x) to g(x)?
Answer:
Translation, simply put if you slide either up or down onto eachother, they overlap perfectly.
How many terms of the series do we need to add in order to find the sum to the indicated accuracy?
∑n=1[infinity](−1)n−1n49
Term: n =
We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.
How is this so?The series ∑n=1[infinity](−1)n−1n49 is an alternating series, which means that the terms alternate in sign and decrease in size.
This type of series converges,and the error in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.
In this case, we are given that the desired accuracy is 0.00005.
The (n+1)th term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.
Using a calculator, we can find that n = 4 satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.
The first 4 terms of the series are -
1/1⁴⁹ = 1
-1/2⁴⁹ = -1/1610612736
1/3⁹ = -1/29859862048
-1/4⁴⁹ = 1/209227898880
The sum of these 4 terms is 0.12345, which is accurate to within 0.00005
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Slope formula: trying to make sure I’m doing this right
Answer:
Yup ur Right ;D
Step-by-step explanation:
Remy wants to make two recipes. For one of the recipes, they need 34 cup of sugar. For the other recipe, they need 14 cup of sugar. Remy has 1 cup of sugar.
The midpoint of AB is M (4, 4). If the coordinates of A are (2, 1), what are the
coordinates
of B?
Answer:
(6,7)
Step-by-step explanation:
Let B(x,y).
By the midpoint formula,
4 is the average of 2 and x, so x = 6.Similarly, y = 7.So, the coordinates of B are (6,7).
write an inequality representing I, the number of outfits she can buy while staying within her budget
Anna has $540 to spend at the bicycle shop → this means that she can spend the $540 or less, you can symbolize this as ≤ $540
Her costs include:
• A bicycle for ,$402.87
,• 3 bicycle reflectors for $10.97/each, the total will be 3*10.97=,$32.91
,• A pair of bike gloves for ,$14.42
,• With the remaining money, she wants to buy as many biking outfits as possible. Let "o" represent the number of outfits she can buy, considering each one costs $44.90, then the total cost for the outfits can be symbolized as ,$44.90o
The calculation for her total expenses is the sum of everything she buys:
"Bicycle"+"Reflectors"+"Gloves"+"Outfits"≤$540
Using the costs listed above the expression is
\(402.87+32.91+14.42+44.90o\leq540\)Simplify the like terms, i.e. add the alone numbers together
\(450.20+44.90o\leq540\)87 push ups in 3 minutes do the unit rate and how many in 5 minutes
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-7,-2)
Step-by-step explanation:
y = 3x + 19
y = 5x + 33
Substitute in y. Basically set equal to each other.
3x + 19 = 5x + 33
-2x = 14
x = -7
y = 3 (-7) + 19
y = -21 + 19
y = -2
Answer:
y = -2
x = -7
Step-by-step explanation:
Substitute y= 5x + 33
5x + 33 = 3x + 19
Isolate x for 5x + 33 = 3x + 19: x = -7
For y = 5x + 33
Substitute x = -7
y = 5(-7) + 33
y = -2
So the solution is y= -2, x=-7
Hurry! *50 point's and brainly to the one who solve this!!* Please and thank you!
2 .) What is the special angle pair relationship between < 8 and < 4?
3.) What is the special pair relationship < 2 and < 3?
4, using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal other. After solving for x, her teacher said she got the wrong value for x. Exaple where Maggie made her mistake when solving for x.
Answer:
Step-by-step explanation:
2) What type of angle is 4 and 8?
I What is the special angle pair relationship between < 8 and < 4?
Angle 4 and angle 8 are also alternate interior angles. Alternate exterior angles: Pairs of exterior angles on opposite sides of the transversal. Angle 2 and angle 7 are alternate exterior angles.
3)Twos are generally thoughtful, people-oriented, and caring, while Threes are resourceful, energetic, and determined.
4) Do not use a protractor. Use the properties of straight and vertical angles to help you.
You are diving on a highway and are about 140 miles
From a state border you set
your cruise control
at 60 miles per hour and plan to turn it off within
30 miles of the border on either side. Find the
maximum amount of time you will have
and
Minimum
Cruise control on.
The maximum amount of time that we will have is 1hr 20mins by suing the speed formula.
Distance covered when cruise control off = 2 × 30 miles
= 60 miles
So, distance covered when cruise control on = 140 - 60
= 80 miles
Speed formula:
Time = Distance/Speed
= 80miles / 60miles per hr.
= 4/3 hr.
= 4/3 × 60 min
= 80 min
= 1hr 20mins
Therefore, the maximum amount of time that we will have is 1hr 20mins by suing the speed formula.
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Can someone please tell me what net change is. I need it simplified for me though.
Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1
Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).
Answer:
-3 and -2
Step-by-step explanation:
7x² + 19x + 21 = 4x² + 4x + 3
combine like terms:
3x² + 15x + 18 = 0
3(x² + 5x + 6) = 0
(x + 3)(x + 2) = 0
x = -3
x = -2
Consider this code: begin main int y=1; int x=1; printline(x ); end main what will this code print?
This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.
Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.
Since the value of 'x' is '1', the code will print '1' as the output.
In summary, the code will print the value of the variable 'x', which is '1'.
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The slope field for certain differential equae tion is shown below: Which of the following statements about solution y = f (x) the differential equation must be false?
A). The graph of the particular solution that satisfies f "(0)=0 has = point of inflection at x=0 _
B.) The graph of the particular solution that satisfies f (0) =0 is concave up on the interval -k
C) The graph of the particular solution that satisfies f(-1)=1 concave up on the interval -1
D.) The graph of the particular solution that satisfies f ()=-1is concave down on the interval 0
The slope field shown in the question is that of a differential equation of the form y'= f(x,y).
The solutions of this equation are the curves in the slope field that emanate from each point and that have the same slope as the line at that point. Thus, for each point (x,y) in the slope field, it is possible to calculate the particular solution that passes through that point.
The first statement is false because it involves the second derivative of the particular solution, which cannot be determined from the slope field. The second statement is false because a concave up graph requires that the derivative of the solution be increasing at x=0, but the slope field does not indicate the sign of the derivative of the particular solution. The third statement is false because a concave up graph requires that the derivative of the solution be decreasing at x=-1, which cannot be determined from the slope field. The fourth statement is false because a concave down graph requires that the derivative of the solution be increasing at x=0, which cannot be determined from the slope field.
In summary, none of the statements can be determined to be true or false from the slope field shown.
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I WILL GIVE BRAINLIEST PLS ANSWER CORRECTLY !!!!
Answer:
neither
Step-by-step explanation:
the correct answer should be ASA since 2 angles and 1 side is congruent